Solve P=42-2QD

$$P = 42 - 2 Q D$$

Solve for D (complex solution)

$$\left\{\begin{matrix}D=\frac{42-P}{2Q}\text{, }&Q\neq 0\\D\in \mathrm{C}\text{, }&P=42\text{ and }Q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$42-2QD=P$$

Subtract 42 from both sides.

$$-2QD=P-42$$

The equation is in standard form.

$$\left(-2Q\right)D=P-42$$

Divide both sides by -2Q.

$$\frac{\left(-2Q\right)D}{-2Q}=\frac{P-42}{-2Q}$$

Dividing by -2Q undoes the multiplication by -2Q.

$$D=\frac{P-42}{-2Q}$$

Divide P-42 by -2Q.

$$D=-\frac{P-42}{2Q}$$

Solve for D

$$\left\{\begin{matrix}D=\frac{42-P}{2Q}\text{, }&Q\neq 0\\D\in \mathrm{R}\text{, }&P=42\text{ and }Q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$42-2QD=P$$

Subtract 42 from both sides.

$$-2QD=P-42$$

The equation is in standard form.

$$\left(-2Q\right)D=P-42$$

Divide both sides by -2Q.

$$\frac{\left(-2Q\right)D}{-2Q}=\frac{P-42}{-2Q}$$

Dividing by -2Q undoes the multiplication by -2Q.

$$D=\frac{P-42}{-2Q}$$

Divide P-42 by -2Q.

$$D=-\frac{P-42}{2Q}$$

Solve for P

$$P=42-2DQ$$